A refinement of Cauchys theorem on the zeros of quaternion polynomial

2025/02/17 by Rather, Nisar Ahmad, Bhat, Danish Rashid, Bhat, Tanveer
#Complex Variables (math.CV) #F.2 #FOS: Mathematics #Gm

paper · doi:10.48550/arxiv.2502.11474

Abstract

In this paper, we shall present an interesting and significant refinement of a classical result of Cauchy about the moduli of the zeros of a quaternionic polynomial. As an application of this result we shall obtain zero-free regions of polynomials having quaternionic coefficients.

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